167k views
11 votes
N
What is the solution to the equation 36 – 5x = 5 – 6(x - 4) ?

68bpoints

User Dvdsmpsn
by
8.1k points

2 Answers

8 votes

Answer:

x = -7

Step-by-step explanation:

36 − 5x = 5 − 6(x − 4)

[ Simplify both sides of the equation ]

36 − 5x = 5 − 6(x − 4)

36 + −5x = 5 + (−6)(x) + (−6)(−4) [ Distribute ]

36 + −5x = 5 + −6x + 24

−5x + 36 = (−6x) + (5 + 24) [ Combine Like Terms ]

−5x + 36 = −6x + 29

−5x + 36 = −6x + 29

[ Step 2: Add 6x to both sides ]

−5x + 36 + 6x = −6x + 29 + 6x

x + 36 = 29

[ Step 3: Subtract 36 from both sides ]

x + 36 − 36 = 29 − 36

x = −7

User Dan Korn
by
8.0k points
9 votes

Step-by-step explanation:

  • 36-5x=5-6(x-4)

36-5x=5-6x+24

-5x+6x=24+5-36

x=29-36

x=-7

User ECorke
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories